642088478581537 has 64 divisors (see below), whose sum is σ = 727971347174400. Its totient is φ = 562225935237120.

The previous prime is 642088478581399. The next prime is 642088478581547. The reversal of 642088478581537 is 735185874880246.

It is a cyclic number.

It is not a de Polignac number, because 642088478581537 - 2⁴³ = 633292385559329 is a prime.

It is a super-2 number, since 2×642088478581537² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642088478581547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15638932113 + ... + 15638973169.

It is an arithmetic number, because the mean of its divisors is an integer number (11374552299600).

Almost surely, 2^{642088478581537} is an apocalyptic number.

It is an amenable number.

642088478581537 is a deficient number, since it is larger than the sum of its proper divisors (85882868592863).

642088478581537 is a wasteful number, since it uses less digits than its factorization.

642088478581537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44146.

The product of its (nonzero) digits is 2890137600, while the sum is 76.

The spelling of 642088478581537 in words is "six hundred forty-two trillion, eighty-eight billion, four hundred seventy-eight million, five hundred eighty-one thousand, five hundred thirty-seven".